Search a number
-
+
5343066540 = 2232577095981
BaseRepresentation
bin1001111100111100…
…01011100110101100
3111210100220220101100
410332132023212230
541420311112130
62242104243100
7246256213320
oct47636134654
914710826340
105343066540
1122a2026a79
121051470490
13671c57c46
14389885980
15214120c60
hex13e78b9ac

5343066540 has 144 divisors (see below), whose sum is σ = 18551856960. Its totient is φ = 1219345920.

The previous prime is 5343066539. The next prime is 5343066541. The reversal of 5343066540 is 456603435.

5343066540 is a `hidden beast` number, since 53 + 4 + 3 + 0 + 66 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (5343066539) and next prime (5343066541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5343066495 and 5343066504.

It is not an unprimeable number, because it can be changed into a prime (5343066541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890350 + ... + 896330.

It is an arithmetic number, because the mean of its divisors is an integer number (128832340).

Almost surely, 25343066540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275928480).

5343066540 is an abundant number, since it is smaller than the sum of its proper divisors (13208790420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5343066540 is a wasteful number, since it uses less digits than its factorization.

5343066540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5343066540 is about 73096.2826688198. The cubic root of 5343066540 is about 1748.2231259737.

Adding to 5343066540 its reverse (456603435), we get a palindrome (5799669975).

The spelling of 5343066540 in words is "five billion, three hundred forty-three million, sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 709 1260 1418 2127 2836 3545 4254 4963 5981 6381 7090 8508 9926 10635 11962 12762 14180 14889 17943 19852 21270 23924 24815 25524 29778 29905 31905 35886 41867 42540 44667 49630 53829 59556 59810 63810 71772 74445 83734 89334 89715 99260 107658 119620 125601 127620 148890 167468 178668 179430 209335 215316 223335 251202 269145 297780 358860 376803 418670 446670 502404 538290 628005 753606 837340 893340 1076580 1256010 1507212 1884015 2512020 3768030 4240529 7536060 8481058 12721587 16962116 21202645 25443174 29683703 38164761 42405290 50886348 59367406 63607935 76329522 84810580 89051109 118734812 127215870 148418515 152659044 178102218 190823805 254431740 267153327 296837030 356204436 381647610 445255545 534306654 593674060 763295220 890511090 1068613308 1335766635 1781022180 2671533270 5343066540